Algebra 1 Part 2
- Solving Equations
- One-step
- 1. I can find the value for x that makes an equation true.
- 2. I can get x by itself by dividing or multiplying on both sides of the equation.
- 3. I can get x by itself by adding or subtracting on both sides of the equation.
- 2-Step
- 1. I can find the value for x that makes an equation true.
- 2. I can use addition, subtraction, multiplication and division to find x.
- Multi-step
- 1. I can find the value for x that makes an equation true.
- 2. I can use addition, subtraction, multiplication and division to find x.
- Absolute value
- 1. I can find the absolute value of a number.
- 2. I can find the value of x that makes an absolute value equation true.
- Systems of Equations
- 1. I can find the values of x and y that make both equations true.
- 2. I can graph systems of equations and find the ordered pair that fits in both equations.
- 3. I can use substitution to find the values of x and y to make both equations true.
- 4. I can use elimination to find the values of x and y to make both equations true.
- Word problems
- One-step
- Lines and Slope
- Slope
- 1. I can calculate slope by using rise over run.
- 2. I can decide if the slope is positive, negative, zero,or undefined by looking at the graph of a line.
- Graphing lines
- I can find the y-intercept in the slope-intercept form of an equation.
- I can find the slope in the slope-intercept form of an equation.
- I can plot the points of a line from the slope-intercept form of an equation.
- Equation of a line
- I can write the equation of a line in slope-intercept form.
- Slope
- Solving Inequalities
- Linear Inequalities
- 1. I can graph inequalities using y-intercept and slope, and decide if the line is solid or dashed.
- 2. I can shade the area of the graph where the x and y values make the inequality true.
- Systems of Inequalities
- 1. I can graph 2 inequalities on the same graph and shade the area of the graph where the x and y values make both inequalities true
- Linear Inequalities
- Word Problems
- I can solve word problems using diagrams.
- I can solve word problems using tables and lists.
- I can solve word problems involving distance, rate, and time
- I can solve word problems by working backward
- I can solve word problems by guessing and checking
- I can write an explanation to my solution using complete sentences.
- Probability
- 1. I can find the number of possible outcomes in a given probability problem.
- 2. I can find the probability of independent events occuring.
- Functions
- 1. I can look at ordered pairs and decide what is a function and what is not a function.
- 2. I can look at a graph and decide if it is a function or not a function.
- 3. I can use function notation when writing a function.
- 4. I can replace x with a number in a function to find y.
- 5. I can make a table of x and y values for a function.
- 6. I can plot ordered pairs from the table of values on a graph.
- 7. I can connect the points that I plot to create the graph of a function.
- 8. I can look at the graph I drew, and decide what type of graph it is (quadratic, exponential, reciprocal, linear, or absolute value)
- 9. I can recognize when a graph is a dilation (a stretch) of the original function.
- 10. I can recognize when a graph is a reflection (a flip) of the original function.
- 11. I can recognize when a graph is a translation (a shift or slide) of the original function.
- Exponents
- 1. I can recognize that the exponent is the number of times a number is multiplied by itself.
- 2. I can identify the base and the exponent when they are written.
- 3. I can multiply numbers with the same base and add the exponents.
- 4. I can tell the difference when I need to mulitply exponents compared to when I need to add exponents.
- 5. I can divide numbers with exponents by keeping the same base and subtracting the exponents.
- 6. I can use negative and zero exponents.
- 7. I can use scientific notation.
- I can graph an exponential equation by creating a table of x and y values.
- When given x, I can find the value of y that makes the exponential equation true.
- I can solve exponential decay word problems.
- I can solve exponential growth wrod problems.
- Radicals
- I will understand what the square root of a number means, and I will be able to use the calculator to find square roots.
- I will be able to simplify radical expressions with numbers as radicands by prime factorization.
- I will be able to simplify radical expressions with both numbers and variables as radicands by prime factorization.
- I will be able to add and subtract in expressions that contain radicals.
- I will be able to multiply in expressions that contain radicals.
- I will be able to find the value of x that makes an equation true for an equation such as x^2=16.
- I will be able to find the length of a leg or hypotenuse of a right triangle by using the Pythagorean Theorem.
- I will be able to find the distance between two points by using the distance formula.
- I will be able to find the midpoint between 2 points by using the midpoint formula.